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1 year ago

The null space of a is the solution set of the equation ax = 0. a. true b. false

Mathematics

1 answer:

horrorfan [7]1 year ago

7 0

It is true that the null space of a is the solution set of the equation ax = 0.

<h3>What is the proof?</h3>

The null space of a matrix A is Nul(A)= {x : Ax=0}. In other words, if A is m × n, then its null space consists of those vectors x ∈ Rn which solve the homogeneous equation Ax= 0.

Solving Ax=0 yields an explicit description of Nul(A).

Therefore, the Option A is correct.

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Answer:

Dimensions are 350/9 ft and 17.5 ft

Step-by-step explanation:

We are given the cost per ft of all the 4 sides. Let the horizontal be x and the vertical be y.

Now, we will set up the constraint and equation that we are being asked to maximize.

Thus;

700 = 10y + 10y + 7x + 2x

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Maiking y the subject, we have;

y = (700 - 9x)/20

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Thus, A = x(35 - 9x/20))

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We can get the critical points by finding the derivatives and Equating to zero

Thus;

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At d²A/dx², we have;

d²A/dx² = -0.9

This is negative, thus we will disregard and use the one gotten from the first derivative.

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4 years ago

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Answer:

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Using the distributive property we can confirm that:

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